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Finding the Fourth Proportional to 98,315.64, 135,643.50 and 58,015.80

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Solution

The fourth proportional to 98,315.64, 135,643.50 and 58,015.80 is: 80,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,315.64 : 135,643.50 = 58,015.80 : x
  2. Step 2: Convert to fraction form
    98,315.64/135,643.50 = 58,015.80/x
  3. Step 3: Cross multiply
    98,315.64x = 135,643.50 × 58,015.80
  4. Step 4: Simplify right side
    98,315.64x = 7,869,466,167.30
  5. Step 5: Solve for x
    x = 7,869,466,167.30/98,315.64
  6. Step 6: Final answer
    x = 80,042.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.